Search a number
-
+
76453988939136 = 273417727596653
BaseRepresentation
bin10001011000100011010100…
…110110100011010110000000
3101000200221002221102222010000
4101120203110312203112000
540010110232132023021
6430334251101040000
722050422055326154
oct2130432466432600
9330627087388100
1076453988939136
11223a6a55671a36
1286a9366256000
133387770992863
1414c456dc1d064
158c8b25009b26
hex4588d4da3580

76453988939136 has 320 divisors, whose sum is σ = 241241484163680. Its totient is φ = 23952532488192.

The previous prime is 76453988939033. The next prime is 76453988939137. The reversal of 76453988939136 is 63193988935467.

76453988939136 is a `hidden beast` number, since 7 + 6 + 4 + 5 + 398 + 8 + 93 + 9 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76453988939137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 127839786 + ... + 128436438.

Almost surely, 276453988939136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76453988939136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120620742081840).

76453988939136 is an abundant number, since it is smaller than the sum of its proper divisors (164787495224544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76453988939136 is a wasteful number, since it uses less digits than its factorization.

76453988939136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597423 (or 597402 counting only the distinct ones).

The product of its digits is 6348948480, while the sum is 81.

The spelling of 76453988939136 in words is "seventy-six trillion, four hundred fifty-three billion, nine hundred eighty-eight million, nine hundred thirty-nine thousand, one hundred thirty-six".